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EnglishWe discuss an atomistic model for heterogeneous nanowires, allowing for dislocations at the interface. We study the limit as the atomic distance converges to zero, considering simultaneously a dimension reduction and the passage from discrete to continuum. Employing the notion of Gamma-convergence, we establish the minimal energies associated to defect-free configurations and configurations with dislocations at the interface, respectively. It turns out that dislocations are favoured if the thickness of the wire is sufficiently large.
Dislocations in nanowire heterostructures: from discrete to continuum / Lazzaroni, Giuliano; Palombaro, M; Schlömerkemper, A.. - In: PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS. - ISSN 1617-7061. - 13:1(2013), pp. 541-544. ((Intervento presentato al convegno 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) tenutosi a Novi Sad (Serbia) nel 18-22/03/2013.
| Titolo: | Dislocations in nanowire heterostructures: from discrete to continuum |
| Autori: | Lazzaroni, Giuliano; Palombaro, M; Schlömerkemper, A. |
| Rivista: | |
| Data di pubblicazione: | 2013 |
| Volume: | 13 |
| Fascicolo: | 1 |
| Pagina iniziale: | 541 |
| Pagina finale: | 544 |
| Digital Object Identifier (DOI): | http://dx.doi.org/DOI: 10.1002/pamm.201310260 |
| URL: | http://onlinelibrary.wiley.com/doi/10.1002/pamm.201310260/abstract |
| Appare nelle tipologie: | 4.1 Contribution in Conference proceedings |
